Degree

Degree

Degree => d -- an optional argument to matrix that specifies that the degree of the map created should be d.

The degree may be an integer or a list of integers (multidegree). The length of the list should be the same as the length of a degree for the ring, see degreeLength.

i1 : R = ZZ/101[x]



o1 = R



o1 : PolynomialRing

i2 : p = map(R^1, R^1, {{x^4}})



o2 = | x4 |



             1       1

o2 : Matrix R  <--- R

i3 : isHomogeneous p



o3 = false

i4 : q = map(R^1, R^1, {{x^4}}, Degree => 4)



o4 = | x4 |



             1       1

o4 : Matrix R  <--- R

i5 : isHomogeneous q



o5 = true

See also:

map -- make a map

matrix -- make a matrix

inducedMap(..., Degree => ...) -- specify the degree of a map

Functions with optional argument named Degree :

cohomology(..., Degree)

inducedMap(..., Degree => ...) -- specify the degree of a map

map(..., Degree)

matrix(..., Degree)